Surface Area of Geometric Shapes

Surface Area of Geometric Shapes

​Dr. Tom Giles

​12.2 Surface Areas of Prisms and Cylinder/12.3 Surface Areas of Pyramids and Cones

​"Don't Count the Days. Make the days Count"

-Unknown

Drag and Drop

What is the formula for finding the total surface area of a prism?

Placeholder

#8

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S = Ph + 2B

S = Ph

A = bh

A = bh/2

Drag and Drop

What does lateral surface area mean? #7

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Area of the sides only, no bases

Area of the bases only

Area of the bases and sides

None of the above

Match

Match the formula to the correct three-dimensional figure. #28

• Total Surface Area of a Cylinder

• Lateral Surface Area of Cylinder

• Total Surface Area of a cube

• Lateral Surface Area of a cube

2πr² + 2πrh

2πrh

• 2πr² + 2πrh

• 2πrh

• $$6s^2$$

• $$4s^2$$

Dropdown

 Find the surface area of the cube.

Select answer

#14

Explanation Slide...

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Dropdown

What is the total surface area? (6 in by 3 in by 5 in a prism)S=PH+2lw, where P is 16 in and H is 6 in. Little l is 5 in and Little w is 3.

Select answer

#9

Explanation Slide...

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Drag and Drop

Triangular Prism with base lengths of 3 m, 4 m, 5 m, and a height of 6m. What is the surface area?S.A.= Ph + 2B, where P is the perimeter of the base ( 3 +4+5) and B is the area of the base triangle. B=(3)(4)/2. H is the height which is 6m.

Placeholder

#2

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84 m2

92 m2

102 m2

96 m2

Dropdown

 What is the total surface area of this prism? #4

Select answer

Dropdown

What is the surface area formula for a cylinder? #6

Select answer

Drag and Drop

Remember to cut the diameter in half. Find the surface area. 

Placeholder

#1

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439.82 cm2

140.25 cm2

219.91 cm2

192.25 cm2

Explanation Slide...

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Dropdown

 Find the surface area of a cylinder with a radius of 4 and a height of 3. Use 3.14 for π

Select answer

#3

Explanation Slide...

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Multiple Choice

Find the surface area of the figure.

Round your answer to the nearest hundredth. (Hint: use Pythagorean Theorem to find the diameter) #19

• 3,317.52 $$mm^2$$

• 4,823.04 $$mm^2$$

• 1,658.76 $$mm^2$$

• 1,280 $$mm^2$$

Explanation Slide...

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Multiple Choice

Find the surface area of the figure.

Round your answer to the nearest hundredth. (Hint: you'll have to use Pythagorean Theorem to find the slant height) #34

• 2,400 $$ft^2$$

• 1,200 $$ft^2$$

• 1,560 $$ft^2$$

• 18,000 $$ft^2$$

Explanation Slide...

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Multiple Choice

Find the slant height of the pyramid. #36

• 28 cm

• 25 cm

• 21 cm

• 24 cm

Explanation Slide...

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Multiple Choice

Find the surface area of the figure.

Round your answer to the nearest hundredth. #33

• 311.4 $$ft^2$$

• 155.7 $$ft^2$$

• 196.2 $$ft^2$$

• 248.4 $$ft^2$$

Explanation Slide...

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Multiple Choice

What is the surface area of the cone? Round to the nearest hundredth. #37

• 1339.73

• 1003.36

• 320.78

• 742.04

Explanation Slide...

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Multiple Choice

What is the total surface area of this shape? Remember that the radius is half of the diameter. $$S.A.=\pi rl+\pi r^2,\ where\ r\ is\ the\ radius\ and\ l\ is\ the\ slant\ height.$$  #39

• 3830.23 cm²

• 1321.6 cm²

• 3482.4 cm²

• 1462.73 cm²

Explanation Slide...

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Multiple Choice

Find the surface area of this cone. Leave π in your answer. #40

HINT: FIND THE SLANT HEIGHT FIRST; S.A. =πrl+πr^2

• 65π ft.²

• 60π ft.²

• 90π ft.²

• 130π ft.²

Explanation Slide...

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Multiple Choice

Calculate the composite surface area of the square pyramid on top of the square prism. #26

• 8160 cm²

• 2400 cm²

• 3456 cm²

• 2304 cm²